A302348 - cp's OEIS frontend

A302348 a(n) = Sum_{p in P} (H(2,p)^2)/2, where P is the set of partitions of n, and H(2,p) is the number of hooks of length 2 in p.

n	a(n)
0	0
1	0
2	1
3	1
4	4
5	5
6	14
7	18
8	37
9	50
10	90
11	122
12	199
13	270
14	415
15	559
16	820
17	1096
18	1556
19	2060
20	2847
21	3736
22	5057
23	6576
24	8747
25	11279
26	14788
27	18916
28	24493
29	31097
30	39838
31	50225
32	63737
33	79833
34	100471
35	125076
36	156237
37	193394
38	239956
39	295443
40	364334
41	446349
42	547360
43	667440

[0, 0, 1, 1, 4, 5, 14, 18, 37, 50, 90, 122, 199, 270, 415, 559, 820, 1096, 1556, 2060, 2847, 3736, 5057, 6576, 8747, 11279, 14788, 18916, 24493, 31097, 39838, 50225, 63737, 79833, 100471, 125076, 156237, 193394, 239956, 295443, 364334, 446349, 547360, 667440]

cp's OEIS Frontend

A302348 a(n) = Sum_{p in P} (H(2,p)^2)/2, where P is the set of partitions of n, and H(2,p) is the number of hooks of length 2 in p.

Table of values

List of values